How do I find the slope of a curve at a point?

Answer 1
The slope of a curve of #y=f(x)# at #x=a# is #f'(a)#.
Let us find the slope of #f(x)=x^3-x+2# at #x=1#.
By taking the derivative, #f'(x)=3x^2-1#
By plugging in #x=1#, #f'(1)=3(1)^2-1=2#
Hence, the slope is #2#.
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Answer 2

To find the slope of a curve at a point, you can use calculus. Specifically, you would find the derivative of the function representing the curve with respect to the independent variable. Then, you evaluate this derivative at the given point to find the slope of the curve at that point. The slope of the curve at a point represents the rate of change of the function at that specific point.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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